Polynomials and Polynomial Functions

What is the end behavior of the graph of P\left(x\right)=2x^3+3x^2-2x+1?

• The graph falls to the left and rises to the right

• The graph rises to the left and falls to the right

• The graph rises to both ends

• The graph falls to both ends

Factor completely : m³ + 8

• m² - 2m + 4

• (m + 2)(m² - 2m + 4)

• (m - 2)(m² - 2m + 4)

• (m + 2)(m² + 2m + 4)

Tags

CCSS.HSA.APR.C.4

Factor

3v² - 4v - 7

• (3v - 7)(v + 1)

• 3(v - 7)(v - 1)

• (3v + 1)(v - 9)

• (3v + 1)(v - 10)

Classify the polynomial below by degree and number of terms:

• 20th degree monomial

• Quintic Monomial

• 20th degree polynomial of 5 terms

• Quartic Monomial

What is the end behavior for the function y = -x⁵ - 3x⁴ - 5x³?

• Up and Up

• Down and Down

• Down and Up

• Up and Down

What are the zeros for the function y = x(x - 5)(x - 3)? Select all that apply.

• -5

• -3

• 0

• 3

• 5

Tags

CCSS.HSF-IF.C.7C

What is the degree of the polynomial?

• 4

• 3

• 2

• 1

According to the Fundamental Theorem of Algebra, how many roots does the following equation have?

x⁵ + x⁴ + x³ + x² + x = 0?

• 6 roots

• 5 roots

• 1 root

• no roots

• 3 roots

Tags

CCSS.HSN.CN.C.9

Using the Fundamental Theorem of Algebra, what are all the factors of this polynomial: x⁵ - x⁴ + 6x³ - 6x² + 8x - 8

• (x - 1)(x² + 2)(x² + 4)

• (x - 1)(x² - 2)(x² - 4)

• (x + 1)(x² + 2)(x² + 4)

Tags

CCSS.HSA.APR.B.2

What is the graph for the function x⁴ - 8x² + 4?

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Tags

CCSS.HSA.APR.B.3